Find general solutions (implicit if necessary, explicit if conve- nient) of the differential equations in Problems 1 through 18. Primes denote derivatives with respect to x. dy 1. +2xy =01 dx dy dx 3. 5. = y sin x dy 7. = dx = (64xy)1/3 = 1-y dx (2) 11. y'=xy 13. dy 15. = dx dy dx = 2y = (y+ + 1) cos x (x-1)ys x (2y3 -y) dy dx 4. (1+x) dy dx dy dx 2. 6. 8. + 2xy = 0 dy dx = 4y = 3 xy = 2x sec y = 10. (1+x) = (1+y) dx 12. yy' = x(y +1) dy 1+ x 14. dx 1 + F 16. (x+ 1)(tan y)y' = = X 17. y' = 1+x+y+xy (Suggestion: Factor the right-hand side.) 18. x y'=1-x + y-x2 Find explicit particular solutions of the initial value problems in Problems 19 through 28. dy 19. = yet, y(0) = 2e dx dy 20. = 3x(y + 1), dx 21. 2y 22. 23. X dx x-16 24. dy dx dx dy dx y(0) = 1 y (5) = 2 = 4xy- y. y(1) = -3 +1= 2y. y(1) = 1 =ycoLx, y(z)=n